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Finding the Fourth Proportional to 3,866.68, 5,802 and 3,836.62

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Solution

The fourth proportional to 3,866.68, 5,802 and 3,836.62 is: 5,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.68 : 5,802 = 3,836.62 : x
  2. Step 2: Convert to fraction form
    3,866.68/5,802 = 3,836.62/x
  3. Step 3: Cross multiply
    3,866.68x = 5,802 × 3,836.62
  4. Step 4: Simplify right side
    3,866.68x = 22,260,069.24
  5. Step 5: Solve for x
    x = 22,260,069.24/3,866.68
  6. Step 6: Final answer
    x = 5,756.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.